Stability regions in the vicinity of a periodic Ducati orbit |
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| Authors: | A. I. Martynova V. V. Orlov |
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| Affiliation: | (1) St. Petersburg Forestry Engineering Academy, St. Petersburg, Russia;(2) Sobolev Astronomical Institute, St. Petersburg State University, Universitetski pr. 28, St. Petersburg, Peterhof, 198504, Russia |
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| Abstract: | One- and two-dimensional sections of the region of initial conditions in the vicinity of a periodic Ducati orbit have been studied in detail in the plane equal-mass three-body problem. A continuous stability region generated by the periodic Ducati orbit has been revealed. In addition, a number of other stability regions that are probably related to stable hierarchical triple systems have been found. Several specific trajectories from the stability regions and in the boundary zones are analyzed. |
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| Keywords: | three-body problem periodic orbits stability |
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